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Finding the Third Proportional to 117,175.50 and 181,719

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Solution

The third proportional to 117,175.50 and 181,719 is: 281,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,175.50 : 181,719 = 181,719 : x
  2. Step 2: Convert to fraction form
    117,175.50/181,719 = 181,719/x
  3. Step 3: Cross multiply
    117,175.50x = 181,719 × 181,719
  4. Step 4: Simplify right side
    117,175.50x = 33,021,794,961
  5. Step 5: Solve for x
    x = 33,021,794,961/117,175.50
  6. Step 6: Final answer
    x = 281,814.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.